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Finding the Fourth Proportional to 32,256, 48,349.44 and 13,531.32

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Solution

The fourth proportional to 32,256, 48,349.44 and 13,531.32 is: 20,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256 : 48,349.44 = 13,531.32 : x
  2. Step 2: Convert to fraction form
    32,256/48,349.44 = 13,531.32/x
  3. Step 3: Cross multiply
    32,256x = 48,349.44 × 13,531.32
  4. Step 4: Simplify right side
    32,256x = 654,231,744.46
  5. Step 5: Solve for x
    x = 654,231,744.46/32,256
  6. Step 6: Final answer
    x = 20,282.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.